The random dynamical system considers the composition of sequences of random maps.
This is a more general set-up than the iteration of a certain map and covers the most important examples of dynamical systems, such as products of random maps, stochastic and random ordinary and partial differential equations.
We recommend the reader to [1]} and [2]} for more detailed about random dynamical systems.
Bahnmüller, Liu [3]} and Liu [2]} extend the results that SRB measures are characterized by invariant measures satisfying the Pesin entropy formula to the random case on finite-dimensional compact Riemannian manifold.
